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Finding the Fourth Proportional to 3,054.03, 4,581.41 and 973.29

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Solution

The fourth proportional to 3,054.03, 4,581.41 and 973.29 is: 1,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.03 : 4,581.41 = 973.29 : x
  2. Step 2: Convert to fraction form
    3,054.03/4,581.41 = 973.29/x
  3. Step 3: Cross multiply
    3,054.03x = 4,581.41 × 973.29
  4. Step 4: Simplify right side
    3,054.03x = 4,459,040.54
  5. Step 5: Solve for x
    x = 4,459,040.54/3,054.03
  6. Step 6: Final answer
    x = 1,460.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.